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Finding the Fourth Proportional to 895.22, 1,235.40 and 522.24

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Solution

The fourth proportional to 895.22, 1,235.40 and 522.24 is: 720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.22 : 1,235.40 = 522.24 : x
  2. Step 2: Convert to fraction form
    895.22/1,235.40 = 522.24/x
  3. Step 3: Cross multiply
    895.22x = 1,235.40 × 522.24
  4. Step 4: Simplify right side
    895.22x = 645,175.30
  5. Step 5: Solve for x
    x = 645,175.30/895.22
  6. Step 6: Final answer
    x = 720.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.